What to do for a first date?

We've been going out about a month now and I still haven't managed to take my Girlfriend on a date. One thing or another has gotten in the way of all of our plans so far (they have all been genuine reasons, on her part and mine). I really want to do something special for her. This is her first relationship ever, so nothing too extreme please. Any suggestions as to what I should do for our first date?